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Ivahew [28]
3 years ago
11

Solve for x and y 5x + 3y=35, 2x+4y=28​

Mathematics
2 answers:
Tatiana [17]3 years ago
5 0
The answer would be:

y = 5

x = 4
lina2011 [118]3 years ago
4 0

Answer:

Step-by-step explanation:

Let's solve your system by substitution.

5x+3y=35;2x+4y=28

Step: Solve 5x+3y=35 for x:

5x+3y=35

5x+3y+−3y=35+−3y(Add -3y to both sides)

5x=−3y+35

5x/ 5 = −3y+35/ 5  (Divide both sides by 5)

Step: Substitute  −3/ 5 y+7 for x in 2x+4y=28:

2x+4y=28

2( −3/ 5 y+7)+4y=28

14/ 5 y+14=28   (Simplify both sides of the equation)

14/ 5 y+14+−14=28+−14   (Add -14 to both sides)

14/ 5 y=14

14/ 5 y/ 14/ 5 = 14/ 14/ 5

(Divide both sides by 14/5)

y=5

Step: Substitute 5 for y in x= −3/ 5 y+7:

x= −3/ 5 y+7

x= −3/ 5 (5)+7

x=4  (Simplify both sides of the equation)

Answer:

x=4 and y=5

 

 

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Answer:

3. 2

4. f(n) = 3 + 4(n - 1)

Step-by-step explanation:

3. The general term of the arithmetic sequence is given by:

                                    A(n) = - 14 + (n - 1)(2)

To find the ninth term of this arithmetic sequence, just put $ n = 9 $ in the general term.

∴ A(9) = - 14 + (9 - 1)(2) = - 14 + 8(2) = -14 + 16 = 2.

Therefore the ninth term in the arithmetic sequence is two.

4. To know which expression represents the given sequence, substitute different values for $ n $ to conclude.

In Option A, f(n) = 4 + 3(n - 1). Substitute n = 1.

We get f(1) = 4 + 3(0) = 4. This is not the first term in the sequence and can be eliminated.

In Option B, f(n) = 4 + 3n. Substitute n = 1.

We get f(1) = 4 + 3(1) = 7, not 3 so can be eliminated.

Similarly in Option C, we get 7 and could be eliminated.

In Option D, f(n) = 3 + 4(n - 1). Substitute n = 1.

We get f(1) = 3 + 4(1 - 1) = 3, which is the first term in the sequence.

Similarly, f(2) = 3 + 4(2 - 1) = 3 + 4 = 7.

Substitute n = 3, 4 to get other terms as well.

So, we say f(n) = 3 + 4(n - 1) is the representation of the given arithmetic sequence.

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3 years ago
The total cost (c) in dollars of renting a car for n days is given by the inequality LaTeX: c\ge125+50nc ≥ 125 + 50 n. What is t
zysi [14]

Answer:

<h3>6 days</h3>

Step-by-step explanation:

Given the inequality expression of the total cost (c) in dollars of renting a car for n days as c ≥ 125 + 50n

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425 ≥ 125 + 50n

Subtract 125 from both sides

425 - 125 ≥ 125 + 50n  - 125

300≥ 50n

Divide both sides by 50

300/50≥50n/50

6 ≥n

Rearrange

n≤6

<em>Hence the maximum number of days for which a car could be rented if the total cost was $425 is 6days</em>

<em></em>

5 0
3 years ago
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m_a_m_a [10]
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you'd make the 1 a negative 1 to get rid of the subtraction sign.

you'd add together the 2 ys making it 2y. then add -1 + 3, which would be 2.

so, the answer would be 2y + 2.
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1/3 ANS

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Step-by-step explanation:

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